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6x*x+9x=+6
We move all terms to the left:
6x*x+9x-(+6)=0
We add all the numbers together, and all the variables
6x*x+9x-6=0
We add all the numbers together, and all the variables
9x+6x*x-6=0
Wy multiply elements
6x^2+9x-6=0
a = 6; b = 9; c = -6;
Δ = b2-4ac
Δ = 92-4·6·(-6)
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{225}=15$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-15}{2*6}=\frac{-24}{12} =-2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+15}{2*6}=\frac{6}{12} =1/2 $
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